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Finding the Third Proportional to 423,900 and 640,170

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Solution

The third proportional to 423,900 and 640,170 is: 966,779.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,900 : 640,170 = 640,170 : x
  2. Step 2: Convert to fraction form
    423,900/640,170 = 640,170/x
  3. Step 3: Cross multiply
    423,900x = 640,170 × 640,170
  4. Step 4: Simplify right side
    423,900x = 409,817,628,900
  5. Step 5: Solve for x
    x = 409,817,628,900/423,900
  6. Step 6: Final answer
    x = 966,779.03

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.